# Diagnostic Assessment: Your Teaching And Intervention Must Have [+ Free Resources]

**Diagnostic assessment is at the heart of good teaching and learning, enabling teachers to clearly assess and address gaps in their students’ knowledge. **

**Although such assessments may seem daunting to some of your students at first, studies have found that, when used effectively, diagnostic assessment can double the speed of student learning (Black and Wiliam, 2009). **

**Here we encourage you to understand how you might better use diagnostic assessment with your own class and also give practical first steps to make it easy and rewarding. As usual our focus is on maths and we’re also offering lots of downloadable diagnostic assessments you can download to pinpoint your students’ specific maths gaps. **

- What is diagnostic assessment?
- Why is diagnostic assessment key to pupil progress?
- What are common diagnostic assessment tools?
- Applying the principles of formative assessment
- Best example of diagnostic assessment
- Free diagnostic assessments to identify maths gaps in KS2
- Free diagnostic assessments to identify maths gaps in KS3 and KS4
- Advantages and disadvantages of diagnostic assessment
- What makes a good diagnostic assessment?
- How to use diagnostic assessment to inform ongoing teaching
- Diagnostic assessments FAQs
- References

## What is diagnostic assessment?

A diagnostic assessment is a type of assessment used widely across primary and secondary schools. They are used predominantly as a test to evaluate a student’s strengths, weaknesses, and skills. The results are not used for grading purposes, but to make adjustments to the direction of a lesson by identifying learners’ key misconceptions.

The purpose of this type of assessment is to gather information about students’ understanding in order to make modifications to the learning process. They can be effectively used in every school year and at every stage of the learning process, including as a baseline pre-assessment at a start of a lesson, an end of unit test, or during any other stage of a lesson.

## Why is diagnostic assessment key to pupil progress?

Diagnostic assessments provide teachers with instant and continuous feedback about what learning has occurred for each pupil in their class. This enables teachers to make informed decisions about how to proceed with the lesson and whether they need to adapt their lesson plan.

As such, these assessments are essential to improving learner outcomes. They can increase the speed and effectiveness of learning by:

- Reducing the time spent teaching information that students already know
- Directly challenging the most common misconceptions held in a class
- Identifying students who require a small-group intervention or revision programme

### The importance of diagnostic assessment

- Diagnostic assessments are quick for students to answer which means they can be incorporated frequently into every lesson.
- It is possible to get responses from every pupil in the class simultaneously
- Each wrong answer reveals a misconception without requiring further explanations
- Teachers know which misconceptions need to be challenged
- Teachers can assess prior knowledge and save time by only teaching the topics required

Number and Place Value Diagnostic Quiz

Gain complete diagnostic insight into your class and inform planning for future lessons

Download Free Now!## What are common diagnostic assessment tools?

The most appropriate format for a diagnostic tool will vary between subjects and be dependent on the learning that needs to be assessed. Common ones include

- Open-ended questions
- Closed questions
- Hinge questions
- Practice tests
- Low-stakes quizzes
- Short questionnaires
- Reading assessments
- Worksheets
- Multiple choice quizzes

## Applying the principles of formative assessment

When deciding which tool to use, teachers should consider the three guiding questions of formative assessment and the subsequent questions associated with each one:

### Where are we going?

It is important for teachers to consider this question before beginning a lesson or series of lessons and to be clear about the learning goals for their students.

- What were the learning objectives for the lesson or this part of the lesson?
- What do I expect students to have achieved at this point?

### Where are we now?

Formative assessment can then be used throughout each lesson to effectively measure learners’ understanding against these goals. Asking the question: where are we now?. All formative assessments must incorporate actions to improve learning.

- What questions can be asked to know whether the learning objectives have been met?

### Where should we go next?

However, diagnostic assessments are specifically designed to answer this third question. Identifying learners’ misconceptions, allows teachers to make informed decisions about the most appropriate course of action to improve learning.

- What misconceptions might students have?
- How will their answers reveal these misconceptions?
- What type of question (e.g. open or closed) will provide answers that I can translate into misconceptions?

**Read more: **Formative and summative assessment

## Best example of diagnostic assessment

Multiple-choice questions are usually the most effective form of diagnostic assessment. Each incorrect answer can be chosen to reveal a specific maths misconception and the question can be designed so that students can only answer it correctly if they do not hold a misconception related to that topic.

The discrete list of answers makes it quick for the teacher to mark and students can receive instant feedback about their understanding.

Students can also complete them in no more than ten seconds, which means that they can be used frequently throughout every lesson without sacrificing valuable learning time. Frequent diagnostic assessments help learners to become more reflective and able to identify which topics require greater revision.

**Diagnostic assessments are at the heart of the Third Space Learning intervention**

Every pupil begins their online maths tutoring journey with a Third Space Learning diagnostic assessment to identify individual learning gaps and allow our maths specialists to create a personalised programme of lessons.

The diagnostic questions in this initial test – Mission Zero – are in multiple choice format. For each question, we’ve created one correct answer and three distractors. Each distractor is based on a specific misconception. This means we’re not only diagnosing where pupils are lacking in knowledge, but also what common misconceptions are holding them back.

Following each tutoring session, pupils complete Post-Session Questions to assess the knowledge they have retained. This then informs the lesson objectives for the following session and allows the schools that trust us to monitor the progress their pupils are making.

**Read more**

- 9 effective questioning techniques for the classroom
- How diagnostic assessment improves online maths tutoring

## Free diagnostic assessments to identify maths gaps in KS2

Third Space Learning has created over 50 diagnostic quizzes for Years 1 to 6 covering all key topics:

- number and place value
- four operations
- measurement
- geometry
- ratio and proportion
- algebra
- fractions decimals and percentages
- addition and subtraction
- multiplication and division

Each of the diagnostic maths assessments includes a detailed mark scheme that not only indicates the correct answer but also explains the distractor answers and misconceptions.

Download yours free here: **Number and Place Value Diagnostic Assessments**

- Year 6 Diagnostic Maths Test
- Year 5 Diagnostic Maths Test
- Year 4 Diagnostic Maths Test
- Year 3 Diagnostic Maths Test
- Year 2 Diagnostic Maths Test
- Year 1 Diagnostic Maths Test

You can download further diagnostic assessments with a premium subscription from the Third Space Learning online maths hub.

## Free diagnostic assessments to identify maths gaps in KS3 and KS4

For students in key stages 3 and 4 there are over 60 packs of diagnostic maths questions for

- number
- geometry
- ratio and proportion
- algebra
- statistics
- probability

Each free pack of diagnostic questions contains twenty multiple-choice questions that directly relate to the key skills required to master the GCSE topics. The incorrect answers have all been carefully selected to highlight a specific misconception, meaning that subsequent teaching can be targeted to improve learning and understanding most efficiently.

Hundreds more free KS3 and KS4 resources are available from the secondary maths resource library.

## Advantages and disadvantages of diagnostic assessment

### Advantages of diagnostic assessment

Diagnostic assessment allows teachers to quickly and accurately assess students’ understanding and get valuable information about the misconceptions that are causing a barrier to learning. When teachers challenge these misconceptions and use students’ answers to make decisions about the next stage of the lesson, learning moves forward faster than it would have in the absence of the diagnostic assessment. This is a huge advantage as lesson time can be used more effectively with teachers focusing on knowledge gaps rather than going over information that the whole class is already secure with.

### Disadvantages of diagnostic assessment

Diagnostic assessments can be time-consuming to create. Experienced teachers may find it easier to create diagnostic assessments as it requires subject-specific pedagogical knowledge to accurately identify potential misconceptions and write questions that can reveal these. Schools may need to invest money in teachers’ professional development to fully utilise the impact of diagnostic assessment to ensure teachers have the skills to effectively challenge misconceptions and move learning forward. This can also be mitigated by sharing resources with colleagues and through online professional communities.

## What makes a good diagnostic assessment?

When designed effectively, each incorrect answer will reveal a different misconception about the topic being assessed, which makes it easy for teachers to analyse the results and adapt their teacher accordingly. A good diagnostic assessment will allow teachers to confidently make decisions about how to proceed with the next stage of their lesson or how to begin the following lesson. Pupils’ outcomes from these decisions must also be greater than any decision that would have been made in the absence of a diagnostic assessment.

Common features of effective diagnostic assessments:

- Questions are clear and unambiguous (often closed and multiple choice)
- The focus of the assessment is on one single skill or concept
- Students’ incorrect answers reveal their misconceptions without the need for further explanation
- The correct answer cannot be reached if students hold a misconception
- Students can answer each diagnostic question in less than ten seconds

For support in creating a diagnostic assessment, sharing resources between colleagues, either informally or through online communities, don’t forget the multiple-choice diagnostic assessments that can be downloaded from Third Space Learning here:

## How to use diagnostic assessment to inform ongoing teaching

To improve learning, teaching must be adaptive and tailored to students’ needs. Diagnostic assessment provides teachers with the tools to do this quickly and effectively when three key practices are followed (Andrade & Heritage, 2017).

- Integrate the assessments into the process of teaching and learning.
- Use students’ responses to move learning forward.
- Design the assessments to support student self-regulation.

**1. Integrate the assessments into the process of teaching and learning**

Diagnostic assessments can be effectively used in every school year and at every stage of the learning process. Each decision a teacher makes during a lesson should follow a diagnostic assessment.

Before starting a lesson, a diagnostic test can be used as a pre-test to assess prior learning. Further assessments throughout the lesson and at the end of the lesson can be used to assess the effectiveness of the teaching strategies and instruction.

When diagnostic questions are used throughout every lesson, they must be quick to execute and not create a distraction from the learning activities. Popular approaches include:

- Presenting multiple choice questions on a PowerPoint presentation
- Giving students an entry ticket or worksheet to answer the question on
- Asking students to write their answers on mini-whiteboards
- Numbering multiple choice questions from 1 to 4 so that students can hold up the number of fingers that corresponds to their answer

### 2. **Use students’ responses to move learning forward**

The purpose of a diagnostic assessment is to enable teachers to make an informed decision about the best course of action for the next stage of learning. It is only possible to do this effectively if:

- The diagnostic assessment is designed to diagnose students’ misconceptions effectively
- The classroom culture supports students to complete the diagnostic assessments honestly
- Teachers have sufficient training to move learning forward once they have identified their students’ misconceptions

The **assessment method **a teacher uses should be tailored to each class. For example, students who are nervous about giving an incorrect answer, being allowed to give their answer non-verbally and not written down can give them the confidence to attempt each question. Asking students to hold up the number of fingers (1, 2, 3, or 4) that corresponds to their multiple-choice answer is an effective way of helping students who lack confidence.

The** classroom culture **you creat can also support students to answer diagnostic questions honestly and not opt out. Teachers should aim to create a shared mindset that incorrect answers represent a learning opportunity. This mindset can be encouraged by teachers referring to incorrect answers as misconceptions and sharing the purpose of diagnostic assessments with their students.

Teachers also need the t**raining and skills within their CPD** to know what to do with the results of the diagnostic assessment – as well as. how to create them

- Educating teachers about the importance of using diagnostic assessment to move learning forwards
- Providing teachers with the pedagogical knowledge required to create effective diagnostic questions
- Increasing access to teaching resources and a range of teaching strategies to challenge students’ misconceptions

### 3. Diagnostic assessments should support student self-regulation

Incorporating multiple diagnostic assessments into every lesson and providing students with instant feedback about their learning will improve metacognition and their ability to self-regulate.

Referring to incorrect answers as misconceptions will reinforce the message that diagnostic assessments provide valuable learning opportunities and information about students’ knowledge and current understanding. This can include whole class feedback where students have the opportunity to respond to teacher feedback on their work together.

Another good metacognitive strategy when using diagnostic assessments is to ask students to rate how confident they are in their answers before revealing the correct answers. While this encourages students to reflect on their answers, it also enables teachers to take advantage of the hypercorrection effect: when a student is confident about an incorrect answer, they are more likely to get the answer right in subsequent tests.

Providing a confidence rating does not need to add very much time to complete a diagnostic assessment; students can just write down a number between 1 and 5 to represent how confident they are or indicate which emoji is most representative of their confidence.

For multiple-choice questions, teachers could provide students with a copy of the image below to evaluate how confident they are in one or more of the proposed answers.

**Image 1:** the student is confident that the correct answer is A.

**Image 2:** the student believes the answer is either A or B but doesn’t know which one is more likely to be correct.

**Image 3:** the student is quite confident that the correct answer is D but also thinks A is a possibility.

Do contact us if you have any further questions on diagnostic assessments or how Third Space Learning uses diagnostic assessment within the one to one online maths tutoring

## Diagnostic assessments FAQs

**Are diagnostic assessments a type of formative or summative assessment?**Diagnostic assessments are a type of formative assessment. They are designed to improve learning rather than just provide an evaluation of learning.

**What is the purpose of diagnostic assessments?**The purpose of a diagnostic assessment is to improve learning by identifying students’ misconceptions and making these explicit to the teacher.

**How long should a diagnostic assessment last?**Each question within a diagnostic assessment should take no more than ten seconds for a student to complete.

**When should teachers conduct diagnostic assessments?**Diagnostic assessments should be conducted throughout every lesson, at each stage of the learning process, and whenever a decision needs to be made by the teacher about what should happen next in the lesson.

## References

Andrade, H.L. and Heritage, M., 2017. *Using formative assessment to enhance learning, achievement, and academic self-regulation*. Routledge.

Wisniewski, B., Zierer, K. and Hattie, J., 2020. The power of feedback revisited: A meta-analysis of educational feedback research. *Frontiers in Psychology*, *10*, p.3087.

**DO YOU HAVE STUDENTS WHO NEED MORE SUPPORT IN MATHS?**

Every week Third Space Learning’s maths specialist tutors support thousands of students across hundreds of schools with weekly maths intervention programmes designed to plug gaps and boost progress.

Since 2013 these personalised one to one lessons have helped over 150,000 primary and secondary students become more confident, able mathematicians.

Learn about the diagnostic assessment or request a personalised quote for your school to speak to us about your school’s needs and how we can help.